a) \(14x^3y:10x^2=\dfrac{7}{5}xy\)

b) \(\left(x^3-27\right):\left(3-x\right)\)

\(=\left(x-3\right)\left(x^2+3x+9\right):\left(3-x\right)\)

\(=-\left(3-x\right)\left(x^2+3x+9\right):\left(3-x\right)\)

\(=-\left(x^2+3x+9\right)\)

\(=-x^2-3x-9\)

bạn nào giải giúp mình nha

c) \(8x^3y^3z:6xy^3=\dfrac{4}{3}x^2z\)

d) \(\left(x^2-9y^2+4x+4\right):\left(x^2+3y+2\right)\)

\(=\left[\left(x+2\right)^2-\left(3y\right)^2\right]:\left(x^2+3y+2\right)\)

\(=\left(x+3y+2\right)\left(x-3y+2\right):\left(x^2+3y+2\right)\)

\(=x-3y+2\)

giúp mình nha

a)14𝑥^3𝑦∶10𝑥^2=1,4𝑥𝑦

b)(𝑥^3-27):(3-𝑥)=(𝑥-3)(𝑥^2+3𝑥+9):(3-𝑥)=-(𝑥^2+3𝑥+9)=-𝑥^2-3𝑥-9

c)8𝑥^3𝑦^3𝑧∶6𝑥𝑦^3=4/3𝑥^2𝑧

d)(𝑥^2−9𝑦^2+4𝑥+4)∶(𝑥+3𝑦+2)=((𝑥^2+4𝑥+2^2)-(3𝑦)^2):(𝑥+3𝑦+2)=((𝑥+2)^2-(3𝑦)^2):(𝑥+3𝑦+2)=(𝑥+2-3𝑦)(𝑥+2+3𝑦):(𝑥+3𝑦+2)=𝑥+2-3𝑦

a) x³ - 64x = 0

x(x² - 64) = 0

x(x - 8)(x + 8) = 0

x = 0 hoặc x - 8 = 0 hoặc x + 8 = 0

*) x - 8 = 0

x = 8

*) x + 8 = 0

x = -8

Vậy x = -8; x = 0; x = 8

b) x³ - 4x² = -4x

x³ - 4x² + 4x = 0

x(x² - 4x + 4) = 0

x(x - 2)² = 0

x = 0 hoặc (x - 2)² = 0

*) (x - 2)² = 0

x - 2 = 0

x = 2

Vậy x = 0; x = 2

c) x² - 16 - (x - 4) = 0

(x - 4)(x + 4) - (x - 4) = 0

(x - 4)(x + 4 - 1) = 0

(x - 4)(x + 3) = 0

x - 4 = 0 hoặc x + 3 = 0

*) x - 4 = 0

x = 4

*) x + 3 = 0

x = -3

Vậy x = -3; x = 4

d) (2x + 1)² = (3 + x)²

(2x + 1)² - (3 + x)² = 0

(2x + 1 - 3 - x)(2x + 1 + 3 + x) = 0

(x - 2)(3x + 4) = 0

x - 2 = 0 hoặc 3x + 4 = 0

*) x - 2 = 0

x = 2

*) 3x + 4 = 0

3x = -4

x = -4/3

Vậy x = -4/3; x = 2

e) x³ - 6x² + 12x - 8 = 0

(x - 2)³ = 0

x - 2 = 0

x = 2

f) x³ - 7x - 6 = 0

x³ + 2x² - 2x² - 4x - 3x - 6 = 0

(x³ + 2x²) - (2x² + 4x) - (3x + 6) = 0

x²(x + 2) - 2x(x + 2) - 3(x + 2) = 0

(x + 2)(x² - 2x - 3) = 0

(x + 2)(x² + x - 3x - 3) = 0

(x + 2)[(x² + x) - (3x + 3)] = 0

(x + 2)[x(x + 1) - 3(x + 1)] = 0

(x + 2)(x + 1)(x - 3) = 0

x + 2 = 0 hoặc x + 1 = 0 hoặc x - 3 = 0

*) x + 2 = 0

x = -2

*) x + 1 = 0

x = -1

*) x - 3 = 0

x = 3

Vậy x = -1; x = -1; x = 3

a,x\(^3\)-64=0
   x\(^3\)     =64
  =>x=3
b,x\(^3\)-4x\(^2\)=-4x

   x\(^3\)-4x\(^2\)+4x=0
   x(x\(^2\)-4x+4)=0
   x(x-2)\(^2\)=)
TH1:x=0
TH2:x-2=0
     =>x=2

c,x\(^2\)-16-(x-4)=0

   (x+4)(x-4)-(x-4)=0
   (x-4)(x+4-1)=0

   (x-4)(x+3)=0
TH1:x-4=0
     =>x=4

TH2:x+3=0

    =>x=-3

d,(2x+1).2=3+x
    4x+2-3-x=0
    3x-1=0
     x=\(\dfrac{1}{3}\)

e,x\(^3\)-6x\(^2\)+12x-8=0
   (x-2)\(^3\)=0
=>x-2=0
=>x=2

f,x\(^3\)-7x+6=0
  x\(^3\)-x-6x+6=0
  x(x\(^2\)-1)-6(x-1)=0
  x(x+1)(x-1)-6(x-1)=0
  (x-1)(x\(^2\)+x-6)=0
TH1:x-1=0

  =>x=1
TH2:x\(^2\)+x-6=0

       x\(^2\)+3x-2x-6=0

       x(x+3)-2(x+3)=0

       (x+3)(x-2)=0

=>x+3=0                =>x-2=0

+>x=-3                   =>x=2

d,(2x+1)\(^2\)=(3+x)\(^2\)

4x\(^2\)+4x+1-9-6x-x\(^2\)=0
3x\(^2\)-2x-8=0
3x\(^2\)-6x+4x-8=0
3x(x-2)+4(x-2)=0

(3x+4)(x-2)=0

TH1:3x+4=0                     TH2:x-2=0
=>x=\(\dfrac{-4}{3}\)                              =>x=2

K hiểu 😐😐😐

\(1,\\ a,=x^3-5x\\ b,=3x^3y-6x^3y^2+9xy\\ c,=6x^2-6x-36\\ d,=x^3+2x^2y-3xy^2\\ 2,\\ a,=4x^2-25\\ b,=x^2-6x+9\\ c,=9x^2+24x+16\\ d,=x^3-6x^2y+12xy^2-8y^3\\ e,=125x^3+225x^2y+135xy^2+27y^3\\ f,=125-x^3\)

\(g,=8y^3+x^3\\ 3,\\ a,=x\left(x+2\right)\\ b,=\left(x-3\right)^2\\ c,=\left(x-y\right)\left(y+5\right)\\ d,=2x\left(y+1\right)-y\left(y+1\right)=\left(2x-y\right)\left(y+1\right)\\ e,=6x^2y^2\left(xy^2+2y-3x\right)\)

5) a) 2x(x^2 - 9) = 0

<=> 2x(x - 3)(x + 3) = 0

<=> x = 0 hoặc x = 3 hoặc x = -3

b) 2x(x - 2021) - x + 2021 = 0

<=> (2x - 1)(x - 2021) = 0

<=> 2x - 1 = 0 hoặc x - 2021 = 0

<=> x = 1/2 hoặc x = 2021

c) 4x^2 - 16x = 0

<=> 4x(x - 4) = 0

<=> x = 0 hoặc x = 4

d) (3x + 7)^2 - (x + 1)^2 = 0

<=> (3x + 7 + x + 1)(3x + 7 - x - 1) = 0

<=> (4x + 8)(2x + 6) = 0

<=> 4x + 8 = 0 hoặc 2x + 6 = 0

<=> x = -2 hoặc x = -3

mình giải tạm nha

phân tích đa thức thành nhân tử

e) x³-3x²-4x+12
= x²(x-3)-4(x-3)
= (x²-4)(x-3)